Mathematical Diamonds

Front Cover
Cambridge University Press, May 15, 2003 - Mathematics - 245 pages
Ross Honsberger has done it again. He has brought together another wonderful collection of elementary mathematical problems and their solutions abounding in striking surprises and brilliant ideas that reflect the beauty of mathematics. Many of these problems come from mathematical journals. Others come from various mathematical competitions such as the Tournament of the Towns, the Balkan Olympiad, the American Invitational Mathematics Exam, and the Putnam exam. And, of course, there is a problem suggested by Paul Erdös. This book is ideal for students, teachers and anyone interested in recreational mathematics.
 

Contents

Preface
1
Apples and Sticks
9
Miscellaneous Gleanings
19
An Application of Turáns Theorem
35
Four Problems from Putnam Papers
43
Topics Based on Problems from Quantum
49
Two Distinguished Integers
79
Nine Miscellaneous Problems
87
Six Problems from the Canadian Open
117
Three Pretty Theorems in Geometry
125
Two Gems from Euclidean Geometry
135
The ThueMorseHedlund Sequence
143
Three Geometry Problems
169
Three Problems From The 1990 Balkan Olympiad
175
A Japanese Fan Problem
181
Slicing a Doughnut
187

A Problem in CoinTossing
103
Semiregular Lattice Polygons
109
A Problem from the 1980 Tournament of the Towns
195
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About the author (2003)

Ross Honsberger was born in Toronto, Canada, and attended the University of Toronto. After more than a decade of teaching mathematics in Toronto, he took advantage of a sabbatical leave to continue his studies at the University of Waterloo, Canada. He joined its faculty in 1964 in the Department of Combinatorics and Optimization, and has been there ever since. He has published a number of best selling books with the Mathematical Association of America, including: "Mathematical Chestnuts from Around the World," "From Erdos to Kiev," "Episodes in Nineteenth and Twentieth Century Euclidean Geometry," "In Polyas Footsteps," and "Ingenuity in Mathematics."

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